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• W2038565950 abstract "We study the large N degeneracy in the structure of the four-point amplitudes of 12-BPS operators of arbitrary weight k in perturbative N=4 SYM theory. At one loop (order g2) this degeneracy manifests itself in a smaller number of independent conformal invariant functions describing the amplitude, compared to AdS5 supergravity results. To study this phenomenon at the two-loop level (order g4) we consider a particular N=2 hypermultiplet projection of the general N=4 amplitude. Using the formalism of N=2 harmonic superspace we then explicitly compute this four-point correlator at two loops and identify the corresponding conformal invariant functions. In the cases of 12-BPS operators of weight k=3 and k=4 the one-loop large N degeneracy is lifted by the two-loop corrections. However, for weight k>4 the degeneracy is still there at the two-loop level. This behavior suggests that for a given weight k the degeneracy will be removed if perturbative corrections of sufficiently high order are taken into account. These results are in accord with the AdS/CFT duality conjecture." @default.
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• W2038565950 date "2003-10-01" @default.
• W2038565950 modified "2023-10-14" @default.
• W2038565950 title "Four-point correlators of BPS operators in SYM at order g4" @default.
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• W2038565950 doi "https://doi.org/10.1016/j.nuclphysb.2003.07.027" @default.
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